G/{S x U(1)^n}上的约束WZWN模型与G-素的交换代数
Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries
摘要:
通过用G约束WZWN模型的电流,给出了G/{SxU(1)^n}上一致约束的WZWN模型.在类光平面上设置泊松括号。利用它们我们给出了约束WZWN模型的能量动量张量的维拉索罗代数。我们在G的任意表示中找到了一个满足经典交换代数的G-准素。的G-初级和约束电流也服从保角变换的能量动量张量。检查约束电流的共形权重为0。这是必要的一致性,我们制定的约束WZWN模型。
英文摘要:
Consistently constrained WZWN models on G/{S x U(1)^n} is given by constraining currents of the WZWN models with G. Poisson brackets are set up on the light-like plane. Using them we show the Virasoro algebra for the energy-momentum tensor of constrained WZWN models. We find a G-primary which satisfies a classical exchange algebra in an arbitrary representation of G. The G-primary and the constrained currents are also shown to obey the conformal transformation with respect to the energy-momentum tensor. It is checked that conformal weight of the constrained currents is 0. This is necessary for the consistency for our formulation of constrained WZWN models.
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